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Search: id:A003519
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| A003519 |
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10C(2n+1, n-4)/(n+6).
(Formerly M4721)
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+0
21
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| 1, 10, 65, 350, 1700, 7752, 33915, 144210, 600875, 2466750, 10015005, 40320150, 161280600, 641886000, 2544619500, 10056336264, 39645171810
(list; graph; listen)
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OFFSET
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4,2
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COMMENT
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Number of standard tableaux of shape (n+5,n-4). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
V. E. Hoggatt, Jr. and M. Bicknell, Catalan and related sequences arising from inverses of Pascal's triangle matrices, Fib. Quart., 14 (1976), 395-405.
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LINKS
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R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6
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FORMULA
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G.f.=x^4*C(x)^10, where C(x)=[1-sqrt(1-4x)]/(2x) is g.f. for the Catalan numbers (A000108). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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CROSSREFS
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A diagonal of any of the essentially equivalent arrays A009766, A030237, A033184, A059365, A099039, A106566, A130020, A047072.
Cf. A000108 A000245 A002057 A000344 A003517 A000588 A003518 A003519 A001392.
Sequence in context: A073381 A092441 A022638 this_sequence A056280 A000453 A097791
Adjacent sequences: A003516 A003517 A003518 this_sequence A003520 A003521 A003522
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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